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Finding the Fourth Proportional to 2,972.91, 4,098.62 and 2,551.44

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Solution

The fourth proportional to 2,972.91, 4,098.62 and 2,551.44 is: 3,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.91 : 4,098.62 = 2,551.44 : x
  2. Step 2: Convert to fraction form
    2,972.91/4,098.62 = 2,551.44/x
  3. Step 3: Cross multiply
    2,972.91x = 4,098.62 × 2,551.44
  4. Step 4: Simplify right side
    2,972.91x = 10,457,370.26
  5. Step 5: Solve for x
    x = 10,457,370.26/2,972.91
  6. Step 6: Final answer
    x = 3,517.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.